On minimal non CC-groups.

A. Osman Asar; A. Arikan

Revista Matemática de la Universidad Complutense de Madrid (1997)

  • Volume: 10, Issue: 1, page 31-37
  • ISSN: 1139-1138

Abstract

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In this work it is shown that a locally graded minimal non CC-group G has an epimorphic image which is a minimal non FC-group and there is no element in G whose centralizer is nilpotent-by-Chernikov. Furthermore Theorem 3 shows that in a locally nilpotent p-group which is a minimal non FC-group, the hypercentral and hypocentral lengths of proper subgroups are bounded.

How to cite

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Asar, A. Osman, and Arikan, A.. "On minimal non CC-groups.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 31-37. <http://eudml.org/doc/44247>.

@article{Asar1997,
abstract = {In this work it is shown that a locally graded minimal non CC-group G has an epimorphic image which is a minimal non FC-group and there is no element in G whose centralizer is nilpotent-by-Chernikov. Furthermore Theorem 3 shows that in a locally nilpotent p-group which is a minimal non FC-group, the hypercentral and hypocentral lengths of proper subgroups are bounded.},
author = {Asar, A. Osman, Arikan, A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Teoría de grupos; Grupo nilpotente; Acotación; Familias de subgrupos; minimal non--groups; locally nilpotent -groups; perfect minimal non--groups},
language = {eng},
number = {1},
pages = {31-37},
title = {On minimal non CC-groups.},
url = {http://eudml.org/doc/44247},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Asar, A. Osman
AU - Arikan, A.
TI - On minimal non CC-groups.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 31
EP - 37
AB - In this work it is shown that a locally graded minimal non CC-group G has an epimorphic image which is a minimal non FC-group and there is no element in G whose centralizer is nilpotent-by-Chernikov. Furthermore Theorem 3 shows that in a locally nilpotent p-group which is a minimal non FC-group, the hypercentral and hypocentral lengths of proper subgroups are bounded.
LA - eng
KW - Teoría de grupos; Grupo nilpotente; Acotación; Familias de subgrupos; minimal non--groups; locally nilpotent -groups; perfect minimal non--groups
UR - http://eudml.org/doc/44247
ER -

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